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Finding the Fourth Proportional to 32,805.40, 45,277.64 and 20,546.50

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Solution

The fourth proportional to 32,805.40, 45,277.64 and 20,546.50 is: 28,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.40 : 45,277.64 = 20,546.50 : x
  2. Step 2: Convert to fraction form
    32,805.40/45,277.64 = 20,546.50/x
  3. Step 3: Cross multiply
    32,805.40x = 45,277.64 × 20,546.50
  4. Step 4: Simplify right side
    32,805.40x = 930,297,030.26
  5. Step 5: Solve for x
    x = 930,297,030.26/32,805.40
  6. Step 6: Final answer
    x = 28,358.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.